{ "id": "math/0309168", "version": "v3", "published": "2003-09-09T19:29:15.000Z", "updated": "2009-04-16T16:24:35.000Z", "title": "Iwahori-Hecke Algebras", "authors": [ "Thomas J. Haines", "Robert E. Kottwitz", "Amritanshu Prasad" ], "comment": "25 pp. A fairly self-contained exposition of basic facts about Iwahori-Hecke algebras. Please send comments and corrections to kottwitz@math.uchicago.edu; reference added; slightly expanded introduction and other minor changes; submitted version", "journal": "Journal of the Ramanujan Mathematical Society, 25:113-145, 2010", "categories": [ "math.RT" ], "abstract": "This article gives a fairly self-contained treatment of the basic facts about the Iwahori-Hecke algebra of a split p-adic group, including Bernstein's presentation, Macdonald's formula, the Casselman-Shalika formula, and the Lusztig-Kato formula.", "revisions": [ { "version": "v3", "updated": "2009-04-16T16:24:35.000Z" } ], "analyses": { "keywords": [ "iwahori-hecke algebra", "split p-adic group", "bernsteins presentation", "basic facts", "casselman-shalika formula" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......9168H" } } }